Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is 
the value increases exponentially with the rate of 
Time period 
Final amount 
Exponential growth is given by

Putting values


Option (c) is correct
Answer:
Q2: slope = -½
Q3: slope = 1
Step-by-step explanation:
If the equation of the line is in the form y = mx+b, then m is the slope of the line and b is the y-intercept (the point where the line crosses the x-axis).
y = -½x, so the slope of the line is -½
y = x+15, so the slope of the line is 1
By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.
<h3>How to make a piecewise function continuous</h3>
According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:
2 · x = c · x² + d, for x = 1 (1)
4 · x³ = c · x² + d, for x = 2 (2)
Then, we have the following system of linear equations:
c + d = 2 (1b)
4 · c + d = 32 (2b)
The solution to this system of linear equations is c = 10 and d = -8.
To learn more on piecewise functions: brainly.com/question/12561612
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